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zavuch27 [327]
3 years ago
9

Point B is on line segment AC. Given AC = 20 and BC = 16, determine the length AB

Mathematics
1 answer:
dolphi86 [110]3 years ago
7 0

Answer:

Answer is AB=AC-BC

20-16=4

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What is the percent decrease from 95 to 68 round to the nearest percent
Setler79 [48]

The decrease is  (95-68) = 27 .

As a fraction, the decrease is  27/95  of the original amount.

To change any fraction to a decimal, do the division:

                            (27)  divided by  (95) = 0.2842...

To change any decimal to a percentage, move the

decimal point two places that ==> way:

                            0.2842...  =  28.42... %Answer:

Step-by-step explanation:

6 0
3 years ago
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If an electric kettle uses
cupoosta [38]

Answer:

The energy used in 3.5 hours = 5.25 kilowatts            

Step-by-step explanation:

Energy used by electric kettle:  

  • 2\frac{1}{4}=\frac{9}{4}=2.25 kilowatts

Time taken by electric kettle:

  • 1.5 hours

Electric kettle's rate in kilowatts per hour can be calculated by dividing the spent energy i.e. 2.25 kilowatts by the time taken i.e. 1.5 hours.

Therefore,

Electric kettle's rate = 2.25 kilowatts / 1.5 hour

                                  = 1.5 kilowatts per hour

Thus, the energy used in 3.5 hours = 1.5 × 3.5

                                                           = 5.25 kilowatts

Therefore, the energy used in 3.5 hours = 5.25 kilowatts                        

3 0
3 years ago
Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am
zheka24 [161]

SOLUTION

We have been given the equation of the decay as

\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}

So we are looking for the time

Plugging the values into the equation, we have

\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}

Taking Ln of both sides, we have

\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}

Hence the answer is 4308 to the nearest year

8 0
1 year ago
Please help asap ty !!
Advocard [28]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
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What is the equation of the line containing the points (3, 1), (9, 3), and (27, 9)?
lutik1710 [3]

From the given points that are (3,1),(9,3),(27,9), we can say that x is three times of y. That is

x= 3y

And we need to solve for y. For that, we need to get rid of 3 from the right side by dividing both sides by 3 . And on doing so , we will get

\frac{x}{3} = \frac{3y}{3}

\frac{x}{3}=y

or

y=\frac{x}{3}

7 0
3 years ago
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